Stress singularity analysis around the singular point on the stress singularity line in three-dimensional joints

Analysis of the stress singularity field at a vertex in 3D-bonded structures having a slanted side surface

“…, Pageau et al (1996) applied this method to analyze joints having fully bonded multi-material junctions intersecting a free edge, and they determined the order of stress singularity and the angular variation of the displacement and stress fields around singular points in a plane intersecting a wedge front in 3D anisotropic material structures. Koguchi (1996), Koguchi and Muramoto (2000), Prukvilailert and Koguchi (2005) examined the order of stress singularity not only at a vertex but also along the stress singularity line between two isotropic materials in joints using eigenanalysis. The stress distributions around the vertex were determined using a boundary element method (BEM).…”

On ensuring structural integrity for configurations with stress singularities: a review

“…Often these additional identifications are for more complex local configurations than those in the references in the cited reviews: sometimes they simply fill in a gap in the literature. For classical elasticity with local configurations comprised of isotropic and piecewise homogeneous, linear elastic materials, all the stress singularities asymptotically identified that have been found to date since 2004 are discussed in the studies . Examples of stress singularities identified since 2004 for anisotropic elastic materials are given in the previous studies ; for functionally graded elastic materials; for finite strain in elastic materials; and for varying size scales …”

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“…For (α 2D = 0.4, β 2D = 0.2) and (α 2D = 0.3, β 2D = 0.2), it can be seen that the plots of the stress −σ θ θ / T against the dimensionless distance r/L in a log-log scale have significantly negative slopes due to the value of the stress intensity factors −L θ θ2 / T of the ln(r/L) term and −L θθ3 / T of the (ln(r/L)) 2 term in Equation (4). In previous papers [Koguchi 1997;Prukvilailert and Koguchi 2005], it was found that the stress intensity factors (L i jm , K i ja ) under tensile loading are proportional to the magnitude of the applied tensile stress, P, on the upper surface of three-dimensional joints, that is,…”

“…Koguchi et al [2003] also used the fundamental solution for two-phase transversely isotropic materials to investigate the stress singularity fields in three-dimensional bonded joints using three-dimensional BEM. Furthermore, Prukvilailert and Koguchi [2005] reported on stress singularity analysis around a point on the stress singularity line in three-dimensional bonded joints using three-dimensional BEM based on Rongved's fundamental solutions. However, this previous research focused only on the stress Keywords: thermoelasticity, thermal stress, logarithmic singularity, stress singularity, three-dimensional joints, dissimilar materials, BEM.…”

“…The subscript h of these material properties represents the material region; subscript 1 refers to the region of material 1 and subscript 2 refers to the region of material 2. Prukvilailert and Koguchi [2005] investigated the eigenvalues for the point on the stress singularity line in three-dimensional bonded joints using the formulation of FEM eigen analysis developed by Yamada and Okumura [1981] and Pageau and Biggers [1995]. The eigen equation was derived using the principles of virtual work for deducing the root p (eigenvalue).…”